Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics (MATHE3, volume 52)
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Table of contents (15 chapters)
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Front Matter
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Introduction
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Basic Hodge Theory
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Front Matter
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Mixed Hodge Structures on Cohomology Groups
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Front Matter
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Mixed Hodge Structures on Homotopy Groups
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Front Matter
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Hodge Structures and Local Systems
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Front Matter
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Keywords
About this book
Reviews
From the reviews:
"This book is dealing with Hodge Theory ... which generalizes in a functorial way the variations of MHS. ... The clarity of the presentation and the wealth of information are both remarkable. This book ... is a masterpiece that anyone working in Algebraic Geometry, Singularities or Analytic/Complex Geometry would like to have in his own library." (Alexandru Dimca, Zentralblatt MATH, Vol. 1138 (16), 2008)
"The book under review … focuses mainly on the ‘pure’ story just summarized, is aimed at graduate students and researchers … . The book begins with a brief historical survey; each chapter is headed by a good summary of its contents and concluded by historical remarks (with references). … this work is a thoroughly readable and very up-to-date account of mixed Hodge theory, written by masters of the subject, and will undoubtedly serve as a basic reference for years to come." (Matt Kerr, Mathematical Reviews, Issue 2009 C)
“This book has been awaited for many years. … the book which is now available will certainly rapidly become one of the standard references on the topic. Hodge theory assigns to a complex variety data which come from linear algebra. … I heartily recommend the book.” (Helene Esnault, Jahresbericht der Deutsche Mathematiker Vereinigung, Vol. 112 (1), 2010)Authors and Affiliations
Bibliographic Information
Book Title: Mixed Hodge Structures
Authors: Chris A.M. Peters, Joseph H.M. Steenbrink
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
DOI: https://doi.org/10.1007/978-3-540-77017-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-77015-2Published: 25 February 2008
Softcover ISBN: 978-3-642-09574-0Published: 22 November 2010
eBook ISBN: 978-3-540-77017-6Published: 27 February 2008
Series ISSN: 0071-1136
Series E-ISSN: 2197-5655
Edition Number: 1
Number of Pages: XIV, 470
Topics: Algebra, Algebraic Geometry, Differential Geometry, Topology, Mathematical Methods in Physics